Two isolated spheres of radii 1 and 2 are charged equally. The ratio of surface charge densities on these
spheres is
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Explanation:
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The spheres are conducting (metallic)
Due to repulsion between charger, all charges accumulate at the surface of the spheres.
We define surface charge Density (σ) as :
σ=AQ=4πR2Q [A : surface area]
So, for equal Q,σαR21
Thus, ratio of surface charge densities between them :
σ2σ1=(R1R2)2
From question, R1=2cm,R2=4cm
⇒σ2σ1=(24)2=4
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